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Finding the Fourth Proportional to 3,807.63, 5,711.45 and 2,508.80

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Solution

The fourth proportional to 3,807.63, 5,711.45 and 2,508.80 is: 3,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.63 : 5,711.45 = 2,508.80 : x
  2. Step 2: Convert to fraction form
    3,807.63/5,711.45 = 2,508.80/x
  3. Step 3: Cross multiply
    3,807.63x = 5,711.45 × 2,508.80
  4. Step 4: Simplify right side
    3,807.63x = 14,328,844.66
  5. Step 5: Solve for x
    x = 14,328,844.66/3,807.63
  6. Step 6: Final answer
    x = 3,763.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.